A six-face fair dice is rolled a large number of times. The mean value of the outcomes is ________
Concept:
Mean = \(\sum\limits_x {x.{f_x}} \)
Calculation:
Value on the die (x) | 1 | 2 | 3 | 4 | 5 | 6 |
Probability P(X) | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 |
Mean = \(\sum\limits_x {x.{f_x}} \)
= 1.(1/6) + 2.(1/6) + 3.(1/6) + 4.(1/6) + 5.(1/6) + 6.(1/6)
= 3.5
Important Questions from Basics of Probability
If the data are skewed, which option of central tendency measure is the most unreliable indicator?
Events A, Band C are mutually exclusive events such that \(P(A) = \dfrac{3x + 1}{3}, P(B) = \dfrac{1-x}{4}\)and \(P(C) = \dfrac{1-2x}{4}\)The set of possible values of x are in the interval
Let A, B be two events in a discrete probability space with ℙ(A) > 0 and ℙ(B) > 0. Which of the following are necessarily true?
The Excess Kurtosis of the Geometric distribution with parameter p is:
For a distribution, the mean is 10, variance is 16, γ 1is + 1 and β 2is 4. The distribution is:
